I suppose the best way to explain the relevance is to give a quick example of how I applied one of the things I learned in a unique way to one of my works that wouldn't work in a more linear medium like traditional literature.
Originally, "Thank you for your cooperation" was going to be the creative equivalent of "Brain Vomit". Pure randomness that entertained by its absurdity and off-the-wall situations. No real plan, no real structure, no real point... I burnt out pretty quickly following this path. Seeing no purpose in what I was doing, I abandoned it for several months and went back to my fruitless search for another corporate master to whore myself out to for a few shekels.
Feeling utterly defeated, I started doing research in my downtime, a long-held habit performed whenever I hit a wall of some sort. Stumbling across the aforementioned series of lectures, I would listen to them absentmindedly while doing some other task and let the words sink into my subconscious. As it usually does, this plan eventually bore fruit and inspiration struck.
Structure and form... A circle at first, then a series of circles fanned out around a single point, then a single point with an arc erupting from it that bifurcate into other arcs that bifurcate into other arcs with each eventually arcing back to the origin after an interval. The chain-reaction of inspiration continued and the wall melted away, leaving the way clear to carry on. With a game-plan (pardon the pun) in mind, work resumed and the fun began.
Since IF is different in nature from traditional literature, a straight application of Structuralist and/or Formalist thought would have been difficult, restrictive, or even just plain impossible. So my subconscious mostly just took the "spirit" of the idea and reinterpreted it in the context of the medium to provide me with some much needed direction. Trying to directly apply the theory of one medium to another (even if they are tangentially related) would be foolish, probably leading to pointless dogmatism and imposition of the limitations of that medium onto the medium you are working with.
I hope I'm not being too vague or even painfully obtuse. If so, I apologize... Work leaves me rather drained both physically and mentally, so clearly expressing a thought is far more difficult than usual.